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Výsledek výzkumu

Completion of the Mixed Unit Interval Graphs Hierarchy

We describe the missing class of the hierarchy of mixed unit interval graphs, generated by the intersection graphs of closed, open and one type of half-open intervals of the real line. This class lies strictly between unit ...

IN - Informatika

  • 2015
  • D
  • Odkaz
Výsledek výzkumu

Moore bound for mixed networks

Mixed graphs contain both undirected as well as directed links between vertices and therefore are an interesting model for interconnection communication networks. In this paper, we establish the Moore bound for mixed gr...

BA - Obecná matematika

  • 2008
  • Jx
Výsledek výzkumu

Completion of the mixed unit interval graphs hierarchy

We describe the missing class of the hierarchy of mixed unit interval graphs. This class is generated by the intersection graphs of families of unit intervals show that this class lies strictly between unit interval gra...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2018
  • Jimp
  • Odkaz
Výsledek výzkumu

U-Bubble Model for Mixed Unit Interval Graphs and Its Applications: The MaxCut Problem Revisited

extend this model to the class of mixed unit interval graphs and demonstrate for solving the MaxCut problem on mixed unit interval graphs. In addition, we derive a polynomial-time algorithm for certain subclasses ...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2020
  • D
  • Odkaz
Výsledek výzkumu

Twin-Width and Transductions of Proper k-Mixed-Thin Graphs

of interval graphs into so-called k-thin graphs, we define a new class of proper k-mixed k-mixed-thin graphs have twin-width linear in k, and that a certain subclass of k-mixed-thin graphs

Computer and information sciences

  • 2022
  • D
  • Odkaz
Výsledek výzkumu

U-Bubble Model for Mixed Unit Interval Graphs and Its Applications: The MaxCut Problem Revisited

been extensively studied. We study mixed unit interval graphs-a generalization captures a richer class of graphs. In particular, mixed unit interval graphs may to the class of mixed unit interval...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2021
  • Jimp
  • Odkaz
Výsledek výzkumu

Twin-Width and Transductions of Proper k-Mixed-Thin Graphs

of proper k-mixed-thin graphs which largely generalizes proper interval graphs. We prove that proper k-mixed-thin graphs have twin-width linear in k, and that a slight subclass of k-mixed-thin

Computer and information sciences

  • 2024
  • Jimp
  • Odkaz
Výsledek výzkumu

Cover time and mixing time of random walks on dynamic graphs

distributed nature. It is well known that for static graphs the cover time, that is, the expected time to visit every node of the graph, and the mixing time, that is, the timeThe application of simple random walks on g...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2018
  • Jimp
  • Odkaz
Výsledek výzkumu

Extendend Chinese Postman Problem

Basic themes of document: Chinese postman problem; rural postman problem; mixed graph...

BB - Aplikovaná statistika, operační výzkum

  • 2009
  • D
Výsledek výzkumu

Colored homomorphism of Colored and Mixed Graphs

Generalizing earlier results of Sopena, Raspaud and Alon, Marshall it is established that colored mixed (i.e. both undirected and oriented) graphs have bounded chromatic number which respects color and orientations....

BA - Obecná matematika

  • 2000
  • Jx
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